{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 特征描述"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Instant 记录号\n",
    "Dteday:日期\n",
    "Season:季节\n",
    "1=春天、人工智能工程师\n",
    "2=夏天\n",
    "3=秋天\n",
    "4=冬天\n",
    "yr:年份,(0: 2011, 1:2012)\n",
    "mnth:月份( 1 to 12)\n",
    "hr:小时 (0 to 23) (只在 hour.csv 有,作业忽略此字段)\n",
    "holiday:是否是节假日\n",
    "weekday:星期中的哪天,取值为 0~6\n",
    "workingday:是否工作日\n",
    "\t1=工作日 (非周末和节假日)\n",
    "\t0=周末\n",
    "weathersit:天气\n",
    "\t1:晴天,多云\n",
    "\t2:雾天,阴天\n",
    "\t3:小雪,小雨\n",
    "\t4:大雨,大雪,大雾\n",
    "temp:气温摄氏度\n",
    "atemp:体感温度\n",
    "hum:湿度\n",
    "windspeed:风速\n",
    "casual:非注册用户个数\n",
    "registered:注册用户个数\n",
    "cnt:给定日期(天)时间(每小时)总租车人数,响应变量 y\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "#color = sns.color_palette()\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2011-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>331</td>\n",
       "      <td>654</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>2011-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2011-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2011-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>2011-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   instant      dteday  season  yr  mnth  holiday  weekday  workingday  \\\n",
       "0        1  2011-01-01       1   0     1        0        6           0   \n",
       "1        2  2011-01-02       1   0     1        0        0           0   \n",
       "2        3  2011-01-03       1   0     1        0        1           1   \n",
       "3        4  2011-01-04       1   0     1        0        2           1   \n",
       "4        5  2011-01-05       1   0     1        0        3           1   \n",
       "\n",
       "   weathersit      temp     atemp       hum  windspeed  casual  registered  \\\n",
       "0           2  0.344167  0.363625  0.805833   0.160446     331         654   \n",
       "1           2  0.363478  0.353739  0.696087   0.248539     131         670   \n",
       "2           1  0.196364  0.189405  0.437273   0.248309     120        1229   \n",
       "3           1  0.200000  0.212122  0.590435   0.160296     108        1454   \n",
       "4           1  0.226957  0.229270  0.436957   0.186900      82        1518   \n",
       "\n",
       "    cnt  \n",
       "0   985  \n",
       "1   801  \n",
       "2  1349  \n",
       "3  1562  \n",
       "4  1600  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(\"day.csv\",nrows =365)\n",
    "\n",
    "#通过观察前20行，了解数据每列（特征）的概况\n",
    "data.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 365 entries, 0 to 364\n",
      "Data columns (total 16 columns):\n",
      "instant       365 non-null int64\n",
      "dteday        365 non-null object\n",
      "season        365 non-null int64\n",
      "yr            365 non-null int64\n",
      "mnth          365 non-null int64\n",
      "holiday       365 non-null int64\n",
      "weekday       365 non-null int64\n",
      "workingday    365 non-null int64\n",
      "weathersit    365 non-null int64\n",
      "temp          365 non-null float64\n",
      "atemp         365 non-null float64\n",
      "hum           365 non-null float64\n",
      "windspeed     365 non-null float64\n",
      "casual        365 non-null int64\n",
      "registered    365 non-null int64\n",
      "cnt           365 non-null int64\n",
      "dtypes: float64(4), int64(11), object(1)\n",
      "memory usage: 45.7+ KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "可以看出特征变量包含数值型和非数值型（dteday），非数值型特征需要做进一步的编码。holiday(0,1)、weekday(0~6)、workingday(0,1)与weathersit(1,2,3,4)均为类别数值。特征dteday也可看做是类别数值，但是若果将其进行数值编码，跟instant差不错，或者可以将instant特征看作是特征dteday对应的map映射值。在后面的数据分析中直接drop掉"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "instant       0\n",
       "dteday        0\n",
       "season        0\n",
       "yr            0\n",
       "mnth          0\n",
       "holiday       0\n",
       "weekday       0\n",
       "workingday    0\n",
       "weathersit    0\n",
       "temp          0\n",
       "atemp         0\n",
       "hum           0\n",
       "windspeed     0\n",
       "casual        0\n",
       "registered    0\n",
       "cnt           0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 查看是否有空值\n",
    "data.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "样本总体数据完好，总体没有空值项。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.0</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>183.000000</td>\n",
       "      <td>2.498630</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.526027</td>\n",
       "      <td>0.027397</td>\n",
       "      <td>3.008219</td>\n",
       "      <td>0.684932</td>\n",
       "      <td>1.421918</td>\n",
       "      <td>0.486665</td>\n",
       "      <td>0.466835</td>\n",
       "      <td>0.643665</td>\n",
       "      <td>0.191403</td>\n",
       "      <td>677.402740</td>\n",
       "      <td>2728.358904</td>\n",
       "      <td>3405.761644</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>105.510663</td>\n",
       "      <td>1.110946</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.452584</td>\n",
       "      <td>0.163462</td>\n",
       "      <td>2.006155</td>\n",
       "      <td>0.465181</td>\n",
       "      <td>0.571831</td>\n",
       "      <td>0.189596</td>\n",
       "      <td>0.168836</td>\n",
       "      <td>0.148744</td>\n",
       "      <td>0.076890</td>\n",
       "      <td>556.269121</td>\n",
       "      <td>1060.110413</td>\n",
       "      <td>1378.753666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.059130</td>\n",
       "      <td>0.079070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.022392</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>416.000000</td>\n",
       "      <td>431.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>92.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.325000</td>\n",
       "      <td>0.321954</td>\n",
       "      <td>0.538333</td>\n",
       "      <td>0.135583</td>\n",
       "      <td>222.000000</td>\n",
       "      <td>1730.000000</td>\n",
       "      <td>2132.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>183.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.479167</td>\n",
       "      <td>0.472846</td>\n",
       "      <td>0.647500</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>614.000000</td>\n",
       "      <td>2915.000000</td>\n",
       "      <td>3740.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>274.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.656667</td>\n",
       "      <td>0.612379</td>\n",
       "      <td>0.742083</td>\n",
       "      <td>0.235075</td>\n",
       "      <td>871.000000</td>\n",
       "      <td>3632.000000</td>\n",
       "      <td>4586.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>365.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.849167</td>\n",
       "      <td>0.840896</td>\n",
       "      <td>0.972500</td>\n",
       "      <td>0.507463</td>\n",
       "      <td>3065.000000</td>\n",
       "      <td>4614.000000</td>\n",
       "      <td>6043.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          instant      season     yr        mnth     holiday     weekday  \\\n",
       "count  365.000000  365.000000  365.0  365.000000  365.000000  365.000000   \n",
       "mean   183.000000    2.498630    0.0    6.526027    0.027397    3.008219   \n",
       "std    105.510663    1.110946    0.0    3.452584    0.163462    2.006155   \n",
       "min      1.000000    1.000000    0.0    1.000000    0.000000    0.000000   \n",
       "25%     92.000000    2.000000    0.0    4.000000    0.000000    1.000000   \n",
       "50%    183.000000    3.000000    0.0    7.000000    0.000000    3.000000   \n",
       "75%    274.000000    3.000000    0.0   10.000000    0.000000    5.000000   \n",
       "max    365.000000    4.000000    0.0   12.000000    1.000000    6.000000   \n",
       "\n",
       "       workingday  weathersit        temp       atemp         hum   windspeed  \\\n",
       "count  365.000000  365.000000  365.000000  365.000000  365.000000  365.000000   \n",
       "mean     0.684932    1.421918    0.486665    0.466835    0.643665    0.191403   \n",
       "std      0.465181    0.571831    0.189596    0.168836    0.148744    0.076890   \n",
       "min      0.000000    1.000000    0.059130    0.079070    0.000000    0.022392   \n",
       "25%      0.000000    1.000000    0.325000    0.321954    0.538333    0.135583   \n",
       "50%      1.000000    1.000000    0.479167    0.472846    0.647500    0.186900   \n",
       "75%      1.000000    2.000000    0.656667    0.612379    0.742083    0.235075   \n",
       "max      1.000000    3.000000    0.849167    0.840896    0.972500    0.507463   \n",
       "\n",
       "            casual   registered          cnt  \n",
       "count   365.000000   365.000000   365.000000  \n",
       "mean    677.402740  2728.358904  3405.761644  \n",
       "std     556.269121  1060.110413  1378.753666  \n",
       "min       9.000000   416.000000   431.000000  \n",
       "25%     222.000000  1730.000000  2132.000000  \n",
       "50%     614.000000  2915.000000  3740.000000  \n",
       "75%     871.000000  3632.000000  4586.000000  \n",
       "max    3065.000000  4614.000000  6043.000000  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## 各属性的统计特性\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "样本casual、registered、cnt是有较大的方差变化，其余数据变化较小。instant是排序型增长的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 单变量分布分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JYe6EtKDDETlqV80bR1xMFPe/tTPoUAY8JYpBpKGphe8+uY6MpHj+48KpQYcj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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efea6b443c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.cnt.values, bins=50, kde=True)\n",
    "plt.xlabel('Median value of bikes count' , fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "目标特征cnt的直方图分布大致呈现正态分布。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lVf6DypLKy9EwMbjqCMdFmDSLqKlkfvVzTrNJ2Bxy89k3c/PZNzNxxUTbTBXN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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ecdc438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 单个特征散点图\n",
    "plt.scatter(range(data.shape[0]), data[\"cnt\"].values,color='purple')\n",
    "plt.title(\"Distribution of Count\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "可以看到样本大量数据大概集中在3800~5000之间"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(364, 16)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 删除小于6000的样本\n",
    "data = data[data.cnt<6000]\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 输入属性的直方图／分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EolpifByfvnoee0508ivNe38NhXuU+fqThzjc1MM/v2OplhkQCcEfrShhcXEm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\nRHxI4S4i4kMKdxERH/r/vD8vyBw8iLUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ec39588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 单个特征散点图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.temp.values, bins=30, kde=True)\n",
    "plt.xlabel('temp', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "中间凹下去，跟单车数量cnt的单变量分布差不多，整体大致呈现正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dA4dPtPG5R9eQn53OT++aTbJ2ohF5n/GFOXzvlmms2lfPPz23WWvPnCPdAjmA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\ncBcR8SGFu4iIDyncRUR8SOEuIuJD/x80DEZAeuypqAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eb7ee80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values, bins=30, kde=True)\n",
    "plt.xlabel('atemp', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "中间凹下去，跟单车数量cnt的单变量分布差不多，整体大致呈现正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Y2dDKHdfNY1xxjteRxIey08Pn3V2z9yj3v75v4H/gEyp38YRzjluXbuDvm+q4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\nIj6kchcR8aH/D0nyZnSQ1tLcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eba77b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.hum.values, bins=30, kde=True)\n",
    "plt.xlabel('hum', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "跟正态分布拟合较好"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5yEIBMjYrZke+Zy9puETSRCx73HXASjPbCrxJZIz72fjGkvOt3NVOZWEOc+qLvY6ScqZV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\nf4hsqXuwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ec2c908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.windspeed.values, bins=30, kde=True)\n",
    "plt.xlabel('windspeed', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "跟正态分布拟合较好"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CSRo5i0CSRs4ikKSRswgkaeQsAkkaOYtAkkbOIpCkkbMIJGnkLAJJGjmLQJJGziKQpJGz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ec0f908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.season, order=[1, 2, 3, 4]);\n",
    "plt.xlabel('Season');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eacc518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.mnth, order=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]);\n",
    "plt.xlabel('Season');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ea4ea20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.holiday, order=[0, 1]);\n",
    "plt.xlabel('Season');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eab0400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.weekday, order=[0, 1, 2, 3, 4, 5, 6]);\n",
    "plt.xlabel('Weekday');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IGBCSNIdN98rRs4bLSZ4JnAKcCFwInLWl/SRJc8O0YxBJng38DvA24DzgJVX1g9koTJLU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\nASFJamVASJJa/Svrum0sHpovAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ea15ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.workingday, order=[0, 1]);\n",
    "plt.xlabel('Workingday');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Cpza7nQp8ebZrkyQ9bYhLTAcDX0wy9fv/qqq+luRG4LIkpwH3AqcMUJskqTHrAVFVdwMv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\nJKmVASFJavV/AYCLNedRxN2gAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e977c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.weathersit, order=[1, 2, 3, 4]);\n",
    "plt.xlabel('Weathersit');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 两两特征之间的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#get the names of all the columns\n",
    "cols=data.columns \n",
    "\n",
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = data.corr().abs()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15, 15)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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E/Ef/yrXTEVTq2pg6gzuZ6opXLc3yF8cSE3LxsTPdy9V4Ql+UXsfJP/w5PNs8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e8fb5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_corr, mask=data_corr < 1, cbar=False)\n",
    "\n",
    "plt.savefig('bikeCounts_coor.png' )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过热图可以通过热图可以看到，\n",
    "①季节、月份、天气、气温、体感温度对每天的单车共享数量是有影响的，其中，季节season、气温、体感温度这三项对单车的租用数量影响最大。\n",
    "②instant、月份和年分跟季节是强相关的，可以只保留季节一个特征作分析。register跟casual对单车数量的影响很大。\n",
    "③dteday编码后跟instant的一样，可以忽略。\n",
    "④temp和atemp跟registered、casual相关性较强"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "instant and yr = 1.00\n",
      "weathersit and temp = 1.00\n",
      "casual and registered = 0.93\n",
      "dteday and yr = 0.83\n",
      "instant and dteday = 0.83\n",
      "temp and registered = 0.77\n",
      "weathersit and registered = 0.77\n",
      "windspeed and registered = 0.71\n",
      "temp and casual = 0.70\n",
      "weathersit and casual = 0.70\n",
      "temp and windspeed = 0.58\n",
      "workingday and atemp = 0.58\n",
      "weathersit and windspeed = 0.58\n",
      "dteday and casual = 0.57\n",
      "dteday and registered = 0.54\n",
      "weekday and windspeed = 0.54\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eW3/9pOtZoM6nMJxh9mlg98FaGd7jvw7Y055Pm4Ja/4Th7aZvMvxX4Svnq5Ph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\nZchJkrplyEmSumXISZK6ZchJkrr1/wFhry6jy1WVaQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e984400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Wooa9ceu7F/oekgTMZ4+uN52yc879CJgFvKf2dX4yPxdHkXPN20WfYNUq5ORR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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eccaa58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QUYy/LdqE4VTG8IurbehGkmkMxSuLz1ezNHelSSasgtF4tIk7N8642PZlZ6wm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\nRETkGf8/I9ZQ2P6Btv8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eb78a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eb90080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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07rHWvhP4i8CHCw4rWz3OWF7bID/fLcBnSANqCJjKHCQS6VblJK6peUE1NWXK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\nhngZYQsDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e508ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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w+vp3OVYL3nHVLHzjZ7vRv31/ed/7rrkAD/zqVax5erA8h64jmcB1D79oar+VTWbHfffC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\n4nMSNvLskwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e551940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vWDCLh0CSMQ1xG7c/9AzSufwqdzrn4faHnkFDDZ5qicZiWYLmZAyW+F9rNPQ/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\nqhsMWkREVDf+f494pPyjK0CBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9c9b5cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uawxunx9Emq8RZum0Hy2bZ7nmy6r3nRfbg6jF+d2vr/7zA/xTX1Ycff31c+0U\naQUoxAgYLxLsOKi/zAQUT17zWdN2TDdfcjq6Mm2+XUMQ4g0/99GqP88dl52F0WIJy+v2FYubQpKQ\ngKF6UAfcTrA6qensMGs1dHHvsbj+j/+wbnLuRZfREaJpgYcxSY+MFrF/eBTHHtmJwX1DuP2JQTz0\n4tt45aYFgPIe0TS7j9bUrg7kxoqOnblunykhEUP1oA64rZXEobZSKikMjxaw+8YF405j6wtv4Z0P\n8+jKtPmepqx2EkcfkcE182fh2z85vBh69cI56JnWhVy+6GpzyXqcqu7s1Htmn98JUxp3wSCEOINO\nK2Dc1kr8rK0EgVmUUXEai+edWBNR+WVvtZPY9q3P4Nr7d9U4jJVbduEHX5mLVAq2UnC/qDim6m7t\ng/uG0NmeMv383jyQ0/ozJSROUD0YMG7VcZ1tKaxd1Fu7B9WiXnS2+ftReVXfmUnDV27ZhT/9o5PH\n2z01q+qrt606eumZ3m0atXRPasOkdv+iVLvxyY0Wsfy8Hlxz4Sys2voyZt3wMFZtfRn7h0fR2Zaa\n8HkflW3HusW9gfVuJKSV4G1ewLhVxx0qlLD5mT1Y1T97/A5+8zN78NVPn4LutD+Oqxmxh91uvVBo\nWkRiZtsPvjJ3PFIZ3GexG7Ih9/Yjomk0Ptn2NC7/1Mn4xn07a6K6FZsGxtfD1X/eAEJVdxKSVBhp\nhYCbBbzZjjTWPT6I+bc9hY/95UOYf9tTWPf4oK/1j2YW0tqtEXJ6XtsoxuQc9/zqdaw1IpXvPzmI\nWy6dYxq1mEW1d1x2FqDgKvJrdB2plKB7UptlVGf2efu5iJuQVoaRlmaEUdNqRuxhu0ZI0PC8DaMY\nE9vWPT6Iq87rGY9URsaKWL+kr9wRvi5qqY5yRsaKGM4XsHzjc64iPyfjo3vtkZCkwkhLM8LYdK+Z\njgp2+ys5OW+jKMbqHJXNFFMiyHa0oXtS480lSwpYXrcxo5OI0sl1cHNEQqKB67Q0JOiFo0EtYHZy\n3kZbyftpm9dt691sM8IFvoT4BhcXE2uCmnAbndfJ4umwN2b0ch2EEN9x9AfG9GCLEpQwoNF5naTV\n/LKtmRQehROE6ElgkZaITALwFIAMyoKPnyil/kpETgawGcAUAM8B+IpSalREMgA2AJgLYD+ALyml\nfmec6zoAXwNQBLBcKbXN7r0ZaelNmFEMIyZCYkPkkVYewHlKqTMA9AK4SEQ+CWA1gO8ppWYCeB9l\nZwTj//eVUj0Avmc8DyLycQCLAMwGcBGA/y0irHbHGKdRjB/bjzBiIiRZBOa0VJkh42G78U8BOA/A\nT4zj9wK42Pj5C8ZjGL//nIjke/qRAAAgAElEQVSIcXyzUiqvlHodwCCAs4Oym+jB+IaS95Y3lFx2\n7w7sHx5tet8sQki8CbSmJSJpERkAsA/AowB+C+ADpVTBeMpeAMcZPx8H4E0AMH7/ewBTq4+bvIbE\nHKtoKk47CRNCwiNQp6WUKiqlegEcj3J09IdmTzP+N8vbKJvjNYjIFSKyQ0R2vPvuu15NJiFiF03F\nods9ISR8QlEPKqU+APAkgE8COFJEKnrj4wG8Zfy8F8AJAGD8/iMADlQfN3lN9XvcqZTqU0r1TZs2\nLYjLID5jF01xS3lCiBmBOS0RmSYiRxo/dwI4H8BvADwB4IvG05YC+Cfj563GYxi/f1yVpY1bASwS\nkYyhPJwJ4Jmg7NYdP8QJumAXTbHjBCHEjCCbpB0D4F5D6ZcC8A9KqZ+KyL8B2CwiNwJ4HsBdxvPv\nAnCfiAyiHGEtAgCl1Msi8g8A/g1AAcBVSqmWvN0OqpNFVDTq3+e0Oz5l7f5hN5YcZ6ID7IgRI8Lu\n8KBTOykrW5LmyKOkMpabtr+B+acdg57p3RjOF9DVkYaIcJxJ0LCNU9IIupdes6/xdE0OHKOdLbmx\nomdHTmoZyhdw9y9ew8VnHo+VW3aNj/Xaxb3ozrTha/dwnEmgRL64mPiMV3GCF/l4WJJzJ4t/7Wyh\nytA/sh1pzD/tGKzcsqtmrFdsGkCp1HjbGULCgE4rRngVJ3iZ2HVyBna2UGXoH7nRInqmd5uPdSbN\ncSZaQKcVI+z2srLDy8SukzOws4UqQ//ItqcxnC+Yj3W+yHEmWsCaVkJopPrStablhEa2UNXmH8Vi\nCftzo1ixaWDCWAPgOJMgoRBDJ4KcWB1tvqihetANOtmSdDjWJCIoxNCFoJu/OhFNeOl27vY1QS58\nbrVu7VEuIm+1sSbxgk4rBIJW4tkJFcKa/NiV3T84loRYQ6cVAkEr8SyFCvliaJOfH445SS2qmoEd\n7gmxhk4rBIJW4lkp6FIphDb5NeuYdYwuonKiOi03IEQ36LRCIGhZtpUUflJ7eJNfs47ZKroYKRSb\nchxeHY9bJ+qng9NpuQEhumHbf0VErrb7vVJqjb/mJJNqpxKUIqtSPAcw/v+QseamuvXO8vN6yv3k\nMm2+2lFxzPUKRqeO2Sy6OPqIDIbzBSw3kV87sbkZ2X61EwUw7kTN2haZvc/axb2Ymu1AOu3+vrDZ\nsSQkydhK3kXkr4wfZwH4BMrbhADAnwB4Sin19WDN84aOkvcoqJ9Ml5/Xg0Vnz8CKzd6cgJP38yqV\nNmsG/OQ1n8V1D7zoud9dUw2GXfR5tHqfH3xlrmf1HWXnpAVx9AW3/ctVSv13ABCRnwE4Syl10Hi8\nCsD9TRpIAqY+whvOF3DFhp220UMzk6VZtOcUs+hixtSs5/RmqaQABWz8+jwcHBlDd6YNv313GN9/\nctDR6xttm1Jju0UNqivThtzYxOc7oZmxJCTJOM1dzAAwWvV4FMBJvltDfKd6zU1Xps3WCUQphphQ\nl1vSh/94/5Cn2s74dWzYgVk3PIw/2/gc3vpgBNteehvXzJ+FEQdCFCd1yEodCwAeu/o/o/+MY2vs\nHNw3RPEEIT7j9BbuPgDPiMg/AlAA/m8AGwKzigRCo+jBTR0nCKqjCwjwj8/txeqFcyZsk9GotmN2\nHSu37MKq/tm49v5dWL+kz5EtdnVIszrWLZfOQUqAdz7MY/XCOXjw+b047qhTQo+UmFokScbRX5NS\n6iYReRjAp41Df6qUej44s4hfVE9gUMAdl52FKzc+Z1rg10lqnW1PY/G8E7Fp+xtY1T+7ZkPCRhOw\n1XVUOphnM86uxy5FZ+YYKw7xPz44hAef34vF804MXTyhU89IQoLAzS1gFsCHSqkfisg0ETlZKfV6\nUIaR5jGfwHpx1+V9mNQ+8S7cTR0naCqRzlc/fcp4xOBU1GB1HYP7hny7HksHn0mjZ3oXjv2jk31X\naDoh6miZkKBxVNMyVIQrAVxnHGoHsDEoo4g/mK99GkBJwbSvnG7bfHjtgWd2HasXzsG2l9727Xqs\n1lKNjBVxYHgMV2zYGckiaZ2iZUKCwFGXdxEZAHAmgOeUUmcax3YppeYEbJ8nKHkv40a2Pf6ahNRD\nqq9jOF9AtiONQ2Ml367HKg3X2Z7Gsg3RbUvfjMyfkIhpXvJexahSSomIAgAR6fJsFgkNL+m+pEit\nq69j8qR2AEB3xt1CXzsHbiXUgES7LT0XJpOk43RW+gcR+QGAI0VkGYCvAlgfnFnEDziBeceJoMFp\nF5Iw64JhdF8hJEocbwIpIhcAuBDlEG6bUurRIA1rBqYHD6NDuk8HG9ziNc3mRr0Xx3EhJED8SQ+K\nSBplJ3U+AG0dFTEn6nRfXCXYXgUNTiOduI4LIVHTMMmvlCoCyInIR0KwhySMuO4N1UyndSeqx7iO\nCyFR4/TWewTAiyLyKIDhykGl1PJArCKJIa4S7KDrgXEdF0KixqnT+j/GP0JcodOCZTd4ETS4qVHF\ndVwIiRo3QoxOADOUUruDNal5KMTQB6+1m7iJFNxeJ2tahEzA0Rff6eLiPwFwK4AOpdTJItIL4K+V\nUv3N2RgMdFrhY+dk3Dogqwl9SrYdhwqlhucJ2uGZnT83VnStNoybYyYkYBx9+Z2utlwF4GwAHwCA\nUmoAwMmezCKJw2xLk4MjYxgaKW8/nxszJmSH7ZjMRAqbtr+B/bnG26YEvb2K1fk721Oua1Re21QR\n0so4dVoFpdTv646F00yNaE+9k5k2OYOD+QKWbfDmOMxECvNPOwYrNg00VNsFrcqzPH8TakNCiHOc\nOq2XROS/AkiLyEwR+Z8A/jVAu0iMqHcyV53bg2vv3+XZcZg5gMq2ItWYRTJBq/LsdinWqdkwIUnF\nqdP6bwBmA8gD+HsAvwewIiijSLyodjL9ZxyL447sxMavz8O2b31mfDdfN47DrEv7sNEeqRqzSCbo\niMfu/DU7Ly/to6jChsquzyVl/B9SF3wSf5wKMS5VSt3f6JguUIgRLpU6z6btb+DiM4+v2Wl49cI5\nuPVnu/HuwbyrTuP1IoXOthQO5MYaqu28qPj8EIm0uoNyM44cQ2KBr+rB55RSZzU6pgt0WuFTKikM\njxZwxYadExR0N19yOroybU1PSk4nRrPnATA95lmOP1pENpNGLl9ESgAITDfWbAXcOiFun0IsaL73\noIgsAPB5AMeJyLqqXx0BoODdNpI0UilBV6bNtN4zY2oWUGh6InfaR7H+eXZ7X3nd5ffQWBHLNuwY\nP98tl87Brdt2450P87jjsrOQTqXKTq1J+X8ccLtbMruBkGZoVNN6C8AOlNs47az6txXA/GBNI3HD\nqu40nC9EOjFbKf6yGW+Tp9n5rr1/F/7ssz22ysmg5fhR0cgJ1devRsaotCTesXVaSqkXlFL3AuhR\nSt1r/LwVwKBS6v1QLCSxIduextpFvTUCirWLegNV0Dkp6FtNqrm8t8nT6nw907ttlZNJbZJrJ04x\nc9TD+QLuuOwsKi2JJ5wmkB8VkX7j+QMA3hWRnyulrg7ONBI30ukUpnZ14M4lc9GVaStvc9+eRjrt\nbsdgpzitpVj1+Uul0LAprlX3C7PzDe4baijNT2JazK65sHnqcADrl/Rxo0riCaezyUeUUh8CuATA\nD5VScwGcH5xZJK6k0ylMntSOlAgmT2oPzGEBzhcSm0no77jsLJRKwNTuspPdfeNFuOvyPnS2pwEp\niwWKxZJ594u21ITz3XLpHHz/yUG8eSBnGXUkdQFydXPherm/Zeowk2Y3EOIJp+rBF1HetfheANcr\npZ4VkV1KqTlBG+gFqgdbg5JSOPX6h1GoSgm2pQSv3LQAKbHeJXhkrIjhfAHLNw1URQa96EincOXG\n58aPrV3ci83b92DNY6+On6eicqtEEdkOQ0GYKqsHzc9djv4Ab2rFOEOlIHGBr5L3SwH8PwB+qZT6\npoicAuAWpdTC5mwMBjqt1sDrhGj1upsvOR2fvfXJmmOr+mdj/m1PjR+zcorV+Nk82OtrdIFrsogL\nmpe8VzAWEd9f9fg1AFo6LNI6eN2o0SpldcKU7IRjPdO7a4452fPKTprvVLZfIY6Tfo2THStiSrY9\n8vpVnB0/qaXROq1vK6W+a/QanBCScefiYOEfmj1eNmoErIUZbx7I1TyvItc/55SpDZ1iUJ+V2zVQ\nUWPrZEUisTmOjp9YY5seFJE/UUr9s4gsNfu9IYHXjiSkB/mHFhzmYzuxpuV0Dy+r83Vl2jCprTnn\n5aZupwM61rB0tImY4l9NK24kwWnxDy1YnLZ6cuJw7GpkzbavsvweLOlD9yT9vgc6OlkdbSKm+LcJ\npIj8s4hsrft3n4isEJFJzdlJzGCrm2Ax24DR66aMdjWyZhcPl+t2vRPk9cVSSctOGjrK+nW0iXjH\n6SKa1wAMAVhv/PsQwDsATjUeE5/hH1p0uN02w+qzGtw31PSNRqWn482XnI7dNy7Aqv7Z+O4ju3Hl\nxue07KRhtiYu6m4XOtpEvONU8v6UUuozZsdE5GWl1OzALPRAEtKDrGlFg9Nxr0kv5osolko19TCv\nW7KY2hSz9JaOAiIdbSIT8E/yDmCaiMxQSu0BABGZAeCjxu9GPRhHGuBVGRcVSZkUnKj1rIQXdy3t\nw6SONPbsz2HNo2WH5ccdvZXasZH0PircyvrDQEebiDecpgf/AsAvReQJEXkSwC8AXCsiXSh3ySAB\n4LXGEjZJ6l7upJZo3j5qACUAUMBHJ2ew5ku9vu1ezPQWIYdxurj4IRGZCeAPUA7h/l0pNWL8+rag\njCPxIG5riexwEtXYObbqtUh+XXvcom5CgsTRX5WIZAFcDeBEpdQyEZkpIrOUUj8N1jwSB5KkdMy2\np3HHZWfh/dwYTpiSxZsHcjgq214T1USRrmN6i5AyTtODP0S5dnWO8XgvgBsDsYjEjqQpHUeLJVz3\nwIuYdcPDuO6BFzFaLNX83jxd14uUIJYpUULihFP14A6lVJ+IPK+UOtM49oJS6ozALfRAEtSDcSJJ\nSkeni7pLJVVO02XKwovbHnsF73yYj+11E6IBvqoHR0WkE0b/QRH5GIC8R8NIwkhSzcVpqjOVEkCA\nL6/fXuPglm96HuuX9AGC2I4BITrTMD0oIgLgDgCPADhBRH4E4F8AfDtg20hIuF1Ma0YYSkc/7GyE\nm1SnlYPr7EjHWkFJiM40dFqqnD9cgfKuxZcD2ASgTyn1ZKCWkVCIi1w9LDvdyMvtOmFY7aJcf01B\nO2FCkobTmtbtAO5RSj0bvEnNw5qWc+LSmDdMO50ulDar5VU6YWx94S3brhW61gGTskicxBJfa1rn\nAviGiLwBYNg4uVJKzfFoHNEEpzWcqCezMGX1TuXl9bW8Pftz4w4LMJfBV4/jcL6AaZMzVQuUo13b\npqsjJaQap38dCwK1gkSGkzVHOkxmurYyqji4UkmhK9OGdw/m0ZYS0w0jrSIzANj6wluRr21L0iJx\nkly4n1aL48Qh6ZBC1MFxNqJRNGo1jqv6Z2P+bU9FnpaNW2Nekjh8TQ8SzfArXedErq5Dx4s4yOob\npRWtxrFnercW/QR1jWYJqcZpRwyiEX4r6RrJ1XXpeBGXBsJWWI3jodGib811m4GNeUkcYHowhoSd\nrotDai4onES0zagNdRvHqAU3pKVx9EWj04ohUdQeWnEyc+Jk3DqiVhxHQhzi6A+B6cEYEkW6Lu6p\nOS+Y75tVu2DYyXOqacVxJMRP6LRiCGsP4eBEgKKDSIWQVoKSoBgSByVdEnCipqPijpBwYaQVU5hm\nCh4nEW3UUa+X/oXseUjiDIUYhNjgp3owCNvcqhHjoGAkLQuFGIQ0i5OINqqo160IxOtrCNGJwJyW\niJwgIk+IyG9E5GURWWEcnyIij4rIq8b/RxnHRUTWicigiOwSkbOqzrXUeP6rIrI0KJsJiRNeRCAU\njpC4E2SkVQDwF0qpPwTwSQBXicjHAXwHwL8opWaivJnkd4znLwAw0/h3BYDvA2UnB+CvAMwDcDaA\nv6o4OkJaGS9LH3TpbkKIVwJzWkqpt5VSzxk/HwTwGwDHAfgCgHuNp90L4GLj5y8A2KDK/BrAkSJy\nDID5AB5VSh1QSr0P4FEAFwVlNyFxwYsIJGrhCCHNEoomV0ROAnAmgO0AjlZKvQ2UHZuITDeedhyA\nN6tettc4ZnWckJbGy9IHLpcgcSdwIYaIdAPYAuBbSqkP7Z5qckzZHK9/nytEZIeI7Hj33Xe9GUtI\nzPAiAuFyCRJnAnVaItKOssP6kVLqAePwO0baD8b/+4zjewGcUPXy4wG8ZXO8BqXUnUqpPqVU37Rp\n0/y9EEICJMx1U1yjReJOkOpBAXAXgN8opdZU/WorgIoCcCmAf6o6vsRQEX4SwO+NNOI2ABeKyFGG\nAONC4xghscfvbWZ0eS9CgiLISOtTAL4C4DwRGTD+fR7A3wK4QEReBXCB8RgAHgLwGoBBAOsBfBMA\nlFIHAPwNgGeNf39tHCMk9liumxot+h4RcY0WSQKBCTGUUr+E9Qrnz5k8XwG4yuJcdwO42z/rCPGf\nms4Y+SJSKWBSu73YwXLdVCaNL6/f7mvXCq7RIkmAHTEI8YEJqbcNO3BgeBRX/3jANg1ntW5qz/6c\n7xGR2zVarH8RHaHTIsQHzFJv196/C3/22R5bp9PZlsLaRb1166Z6cdtjr9Q8z4+IyM0aLda/iK5w\n74QWgrvmmuPHuFil3nqmd4//bOZ0DhVK2PzMHqzqn42e6d0Y3DeEkgLe+TBf8zw/tjtxs0ar2gkD\nGHe865f2ccsVEin89rUI7O5tjl/jYrWv1uC+ofGfzZxOtiONdY8PYs1jr44fu7j3WKxb3IvlmwZq\nbPKja0VljRYAW+fD+hfRFaYHWwQqx8zxa1zMUm+3XDoH339y0DYNZ1ZneufDPLoybVi/tA+v3LQA\n65f2hX5zwR6FRFe4n1aLUFIKp17/MApVNYm2lOCVmxYgJa0TaU1IBXakfRsXL+pBXSNgXe0iicbR\nF4vpwRaB28KbT8Q/+Mpc38alJvU26fBr7c6jay9AXe0ihOlBzfFLduxHd++4S6DNUoH3/Op1rF1c\nr96zHpcgxkDXXoC62kVaG6YHNcbvFE0zKjk7WwDEQpVolSLdfeNFODRWmmB//Xh1tqVwIDfGlBkh\nweDoj4iRlsb4LZ5o5s7Zrt1QXNbzWIkLDo2VJoyL2Tql4VGKWQiJGjotjfFLduxHSsuu3VBcJnI3\nKVIzJ92VadNSBh73tC0hbmiNCnxM8UM8EfQ6pFy+qN1EbpUGdSMuMHPSg/uGtBOzUOVHWg1GWhrj\nh3giyHVI6xafiVQKWq3nadR+yGmK1CyVuO2lt12JNsKA6+9Iq0EhhuY022LIz/VZZrYA0OpOfyhf\nwLJ7d9REQ+ecMtV1+yGrCGZKth2HChNFG1HB9XckQXCdVhJw2nbHCj/XZ1nZotN6Hi91QKsbA6vr\n6k6XExRW4xdmj0euvyOtBtODCcePFGMjdFrP42X7Dat0YvV1ZdvTyI0VG4odwu6OHsbnS4hOMD3Y\nAgRx5+/1nEFHIW6FCU7SidXnPPqIDL51/qmYMTWLXL58HdXnbXQ+qxRrUylgdu+PDI69rzA9SMpU\np/UqEUMzf2SNHIPVH3IYSjertB5Qdij1NjlJJ1bEDtMmZ3D1BbOwcssuS/vtzmd+/b3oSKdw5cbn\nPI9JsynkuBK1w6ByMxqYHmwh/Epd2SnW7N4jLKVbfboSgLVNDtKJFUd01bk9WLlll639duczv/4B\nvJ8bC3xMqtdyHRwZQ7FUivWaLh02qaRyMxrotFoI3+TvNtFEbqyITdvfwKr+2dh94wKs6p+NTdvf\nGL8jjmJNl911O6kJVRxRz/Tuhvbbnc/q+k+YkrU9Z7PUT/BXbNiJ/3h/BHf/4jVtu5c0QgeHwT3H\noqF1cgnEtz8yO8VaZ3sKF595fE0KbfXCOehsT0WmdLO77pQ0XnBccURvHsg1tN9OdTiUL5i+/s0D\nuRrb/B4Ts12IV27ZhVX9s2O7G7EODoPKzWhgpNVC+LWxn100kRstTkihrdyya3zyjkLp1ui6G6kf\nK45o+hEZrHOwuNjqfObX34ujsu2BjonVBF+JHOMYGeiwSSWVm9FA9WAL4Wfh2FJs0WCxaxTF8zCu\nu5nXA8F2ybdSNK7qn41VW18OPdLy4zvg9TP1+/sXtRgkYTgaODqtFsPPPzKzc+XGir50pPCbVp5c\nzCb41Qvn4MHn92LxvBNDVbtFeQNBtZ/20GmR4LBrc8Q9p/SjeoIfNqT/h8ZKoTtvv9psxe29iSO4\nTksX4nCX79ZGs+J+pagfVVunOIxzVFSv5Zo8qR0A0J0Jv6QdpYBCB/EGaR4KMQJGh/UkjfBio9kE\ncPQRGUDh8P2SQmhtneIwziRaAYUO4g3SPHRaAaPDepJGeLGxfgLoP+NYXDN/FpZtiMZp+DnO3FQx\nOKJU3FHtlwyYHgyYOKQkvNhYmQAqtaurLzgV196/yzRdGEa9wO4azNo3WeG2WM+UpDvcbMSZpPcm\n/sFIK2DikJLwYmP1BPDKTQswY2o2UudseQ35It47mMfVPx5wFP25idiYkvRGlLsC6LQjAfEGnVbA\nxCEl0chGq3RZ9QQQtXM2u4ZbLp2DGx58Edc98CKuvmAWpk3ONEwZuok645D6JSRpUPIeAlEtqHW7\nhqWZzuw6rIGpvoY9+3NY8+gr2PrCWwAOL6b943W/sN3VdyhfwN2/eA3zTzsGPdO7MbhvCNteehtf\n/fQpE9Kc3DWYEF+h5F0Xwt46wosDsbLRTtpe/Twd6gWVaygphfPX/LzGmVTaFjXqDdfZlsKis2dg\nxeaB8bFbu6gXnW0plEoKI4UiSiUgmymvd1p+Xg/WPPbq+OvZe46QYGF6MIH4mbZyky7TpV4wbDSm\nrabSmLZRavZQoYQVmwdqxm7F5gHkiyUcHBnDgeHRcYXkFRt2YtG8Gbj6/Jnapn4JSRp0WgnET8Vi\n1LUqL2Q70li9cM6ExrTTJ2capiutxq5UAt7PjY0rJMcd2qYBLPlPJ+GVmxZg/ZK+SDt/UKpPWgE6\nrQTip6OJg5CknkNjJTz4/N66Pb32oAQ0dChWY5fNpHHCFHOF5ORJ7fjy+u2AND5/UCRJyWjmfOmQ\nSQU6rQTip6Opl7ZX2jQFOTk3O0Fl29NYPO9EbHvpbQzuG0LP9G5c/qmT0dnW+OtuNXa5fHF8P61q\nPnHSFAzuGwpc3t9oTJKiZDRzvgdHxrB/OJ8Ih0yah+rBhBLXRa9+qRCLxRL250axYtOA6/NYbR9y\ncGQMB/MFXHv/4Q0ub730DKx+5N/x7sF8YAupnYxJUpSMZk1tn7zms7jugRfZ6Db5OPqiMtJKKLqI\nItziV8RwqFDCik0Dns5jNnaplGDypHZM6erA+iXlqHPNfzkDt2wrO6xmUqZeoqhN29/A8Ojh14yM\nxa/2aIZZTdEqLatTVxkSHnRaRCv8EpF4PY+dA0mlBNmONnRPagMUMLmzHWu+1NtUytRJLar+WvrP\nOBYXn3k8rtiwc/w1w/kC7rjsrFjVHs0wqylapWXj5pCJP9BpEa3wS0Ti5TxOxQx+pl6dRJb113LV\nuT1YuWVX3WsGkE6lQq09BoFZTfGobDvWLe6NvUMm/sCaFtEKv2paXs7jZJNAvzt/OKlF1b/n7hsX\nYNYN8a9fWWFVU4xjjZa4gh0xSPzwq7OGl/M4SSk67RDilEoUVe0o67tq1F9LZfG03WvijFV3ljC7\nyhB9YXqQeCLIdTONRCRO39vsPHavdZJS9HurGafLE6qvpaujzfe1c1wHReIC04PENVE0x62kjDrb\nU9g/7F3Kvn94FJu2vzHeEHc4X0BXRxrpdMrRdTlJIXq9NjeRpZ+v0aHZMSFwmB6k0yKuCWLitqN6\nUl3VPxurtr7s6b0rHdwvPvN4rNxyeK3V2sW9+GhXZnwCt3MGcZ3g7ezOjRVD/TwJsYDrtEgwBLUb\ns1WKqrqO1DO92/N7ZzvSmH/aMROUdys2DYyr9RqlJqPoEOIHdirFKHfXZlqSuIVOi7gmiCa6dnLz\n6kl1cN+Q5/fOjRabcnoV4rhw284xRdUUOUn9Ekl40GlFRJzvMINoomsXCVRPqrc/MWjSwd3Ze2fb\n05bbliR9oaqdY4qqKXJS+iWScGFNKwLiWhepxu/ehnbrlaBQM17Lz+vB5Z86Gd2T2ly/dzM9CS1t\nj0Gfx0bfuUh2105Iv0TiGxRi6ErYQoY40GhM/JxU/TpXZSfj4XwBy310gkGhm3Pl3wGpg0IMXYmy\n8B0FTlKhjVJUftaR/DhXJXLZ92Eeyz025g0b3WpxcdyrjUQPb2ciwEkXhKTgNBXqVyeMsKjUYzZ+\nfV5L3YD4Sdw+c6IHjLQioJXuMN0U23WLBOyoRMvNqBlJvD5zogfJuq2PCa10h5nUVGglWq6oGasX\nKyf1BoQQHaDTigirpqA646WQH0UqNAzBQSVaXr7peax5dDduvuR0zJiaRS5ffl8n76ebMIKQOED1\nIHGEV5l+2PL+MN+vGaeThGUPhPgMJe/EP5qRJ4cZUcRFRh0XOwkJEUreiX80U5sKs9juxc4oupM4\nsTPOXVMICQo6LeKIqPrTucWtnV773zXrUBrZyb58hJhDp0UcEReZvls7vfS/88OhNLKTffkIMYc1\nLeKYuKjd3Njppf+dX/UoOzvZl4+0IKxpEX+Jy0JQN3Z6SXv6tfbMzs4otwthHY3oDJ0WcUXSJjUv\nac8wHEoU6VjW0UgcYHqQOCapa4vcpj3DGoew07GU4ZOI4Tot4i+c1A4Tl/qeG1hHI3aE8J1nTYv4\nS1L7CHohLvU9N8RlWQMJH51Sx3RaxDGc1JJNXJY1kPDRaQlGa+V0SFNUN4mNQ0fzJKbwgqSVdh8g\n7tApy0KnRRwTp0ktqaKRoInj7gMkeHTauJbpQeKKuNRydEpnEBJ3dEod81aKaIOf6Tyd0hmExB2d\nsiyMtIgW+K1OomiEEMk3piwAAA0MSURBVH/RJcsSmNMSkbtFZJ+IvFR1bIqIPCoirxr/H2UcFxFZ\nJyKDIrJLRM6qes1S4/mvisjSoOwl0eJ3Ok+ndAYhxD+CTA/eA+B/AdhQdew7AP5FKfW3IvId4/FK\nAAsAzDT+zQPwfQDzRGQKgL8C0AdAAdgpIluVUu8HaDeJAL/TeTqlMwgh/hFYpKWUegrAgbrDXwBw\nr/HzvQAurjq+QZX5NYAjReQYAPMBPKqUOmA4qkcBXBSUzSRY7PoWBpHO0yWdQQjxj7BrWkcrpd4G\nAOP/6cbx4wC8WfW8vcYxq+MTEJErRGSHiOx49913fTecNEejmhXTeYQQJ+iiHjS7BVY2xyceVOpO\nAHcC5d6D/pmmF3FdMFtdswIwXrOq9C0MIp0X17EihFgTdqT1jpH2g/H/PuP4XgAnVD3veABv2Rxv\nSXTq/+UWJzUrP9N5cR4rQog1YTutrQAqCsClAP6p6vgSQ0X4SQC/N9KH2wBcKCJHGUrDC41jLUmc\nF8w2U7PysodXnMeKEGJNkJL3TQCeBjBLRPaKyNcA/C2AC0TkVQAXGI8B4CEArwEYBLAewDcBQCl1\nAMDfAHjW+PfXxrGWJM4LZr3WrLxGTHEeK11I2oafJBkEVtNSSi22+NXnTJ6rAFxlcZ67Adzto2mx\nRaf+X25xU7OqrkUNjxZsa2FWxHmsdIC9G4musCNGjIi7ws5Jzao+ssp2tFlGTHYRgE5j5VfEEmbk\nE8f0KiPD1oC3nDGiFRbM1qsMB/cNmUZMe/bncP6an1tGAGZj1dmWCl1N6FfEEnbkE7f0KiPD1oGR\nVsxI+oLZ+sny9icGsXrhnJqI6ZZL52DNo680jACqxyrbnsaB3FjoakK/IpawI5+49W6MY2RIvEGn\nRbSifrLc+sJbePD5vbhzyVy8ctMCrF/Sh1u37cbWFw6vfGgUAZRKCsOjBUzp6sCq/tn4/OnHhDap\n+RWxhB356JRedULcIkPiHaYHiVaY7Y68eN6J6OooR0wQ4J0P8zWvsRNYmKWNVi+cAwB46MW3A5/U\n/BKEhC0siVsqmsKb1kHKwr1k0dfXp3bs2BG1GcQjdp0s3NYuhvIFLLt3R81kds4pU7GqfzZWbX25\noQrRj2sxs3dKth2HCiXHDoE1G3s4PonA0QdFp0Vih5v2TCWlcOr1D6NQVbtqSwl237gAB4ZHQ5nU\n6u3tbEvhQG7M9QTLtlT2cHxij6MPizUtEjvciFGsBQWF0O7C6+09VCh5Eg0kXYTTLByf1oBOiyQa\nK0FBV0d0kxpFA4R4hxVKkmh0FBRQNECIdxhpkcSjW9oobnJyHWC3C1KBt3WEhIyO0Z/OUBlIqmGk\nRUgE6Bb96Qy7XZBq6LQIIVpD4Qqphk6LEKI1ceuDSIKFTosQojUUrpBqKMQghGgNhSukGjotQoj2\nVIQrALiWrcVhepCECtfbHKYVx6IVr5n4C29ZSGg4XW/TCo1Pvaw9ivu4cL0V8QNGWiQ0nKy3qUxs\nYe8wHDZu1x4lYVy43or4AZ0WCQ0n621aZWJzu/YoCePC9VbED+i0SGg4WW/TKhOb27VHSRgXrrci\nfkCnRULDyXqbVpnY3K49SsK4cL0V8QPuXExCpZGYoJWK9a52YE7IuMRdTEICxdEXgU6LaAcnNnM4\nLiThOPoyMz1ItIMd0A9Tva4pN2Y4qoSOC9dwESdwnRYhmpKUlKATWulaSXMw0iJEU5Igc3dKK10r\naQ46LUI0JQkyd6e00rWS5qDTIkRTkiBzd0orXStpDjotQjSlldY1tdK1kuag5J0QjWklmXsrXSsx\nhZJ3QuJOUuX/ZvL2pF4r8RdK3glpMaKOaChvJ83ASIuQFkKHLU4obyfNQKdFIoedEMJDB4dBeTtp\nBjotEik63Pm3Ejo4DMrbSTPQaZFI0eHOv5XQwWFQ3k6agUIMYkpYxXod7vxbiYrDqBdBhOkwUinB\n1K4OrF/aR3k7cQ2dFplAmOquyp3/06/tHz9WufPvzvDr6Te6OIyKvB0AP2fiCqYHyQTCTNkxVRQ+\nXA9F4gxvccgEwkzZ6XLnTwiJB4y0yATCLtbzzp8Q4hQ6LTIBpuwIIbrC9CCZAFN2hBBdodMiplDd\nRQjREaYHCSGExAY6LUIIIbGBTosQQkhsoNMihBASG+i0CCGExAY6LUIIIbGBTosQQkhsoNMihBAS\nG+i0CCGExAY6LUIIIbGBTosQQkhsoNMihBASG0QpFbUNviMi7wJ4w+YpHwXwXkjm6AzHoQzHoQzH\n4TAcizJhjsN7SqmLGj0pkU6rESKyQynVF7UdUcNxKMNxKMNxOAzHooyO48D0ICGEkNhAp0UIISQ2\ntKrTujNqAzSB41CG41CG43AYjkUZ7cahJWtahBBC4kmrRlqEEEJiSGKdlohcJCK7RWRQRL5j8vuM\niPzY+P12ETkpfCvDwcFYfEZEnhORgoh8MQobw8DBOFwtIv8mIrtE5F9E5MQo7AwaB+NwpYi8KCID\nIvJLEfl4FHYGTaNxqHreF0VEiYhWKjo/cfCduFxE3jW+EwMi8vUo7AQAKKUS9w9AGsBvAZwCoAPA\nCwA+XvecbwK4w/h5EYAfR213hGNxEoA5ADYA+GLUNkc4DucCyBo//1kSvxMOx+GIqp/7ATwStd1R\njIPxvMkAngLwawB9Udsd4XficgD/K2pblVKJjbTOBjColHpNKTUKYDOAL9Q95wsA7jV+/gmAz4mI\nhGhjWDQcC6XU75RSuwCUojAwJJyMwxNKqZzx8NcAjg/ZxjBwMg4fVj3sApDEwreTOQIA/gbAdwGM\nhGlcyDgdCy1IqtM6DsCbVY/3GsdMn6OUKgD4PYCpoVgXLk7GohVwOw5fA/BwoBZFg6NxEJGrROS3\nKE/Yy0OyLUwajoOInAngBKXUT8M0LAKc/m0sNFLnPxGRE8IxbSJJdVpmEVP93aKT5ySBVrnORjge\nBxG5DEAfgFsCtSgaHI2DUup2pdTHAKwEcEPgVoWP7TiISArA9wD8RWgWRYeT78Q/AzhJKTUHwGM4\nnKUKnaQ6rb0Aqu8EjgfwltVzRKQNwEcAHAjFunBxMhatgKNxEJHzAVwPoF8plQ/JtjBx+33YDODi\nQC2KhkbjMBnAaQCeFJHfAfgkgK0JFWM0/E4opfZX/T2sBzA3JNsmkFSn9SyAmSJysoh0oCy02Fr3\nnK0Alho/fxHA48qoOCYMJ2PRCjQcByMd9AOUHda+CGwMAyfjMLPq4R8DeDVE+8LCdhyUUr9XSn1U\nKXWSUuoklGuc/UqpHdGYGyhOvhPHVD3sB/CbEO2roS2qNw4SpVRBRP4cwDaUlTF3K6VeFpG/BrBD\nKbUVwF0A7hORQZQjrEXRWRwcTsZCRD4B4B8BHAXgT0TkvyulZkdotu84/E7cAqAbwP2GJmePUqo/\nMqMDwOE4/LkRcY4BeB+Hb+4Sg8NxaAkcjsVyEekHUEB5vrw8KnvZEYMQQkhsSGp6kBBCSAKh0yKE\nEBIb6LQIIYTEBjotQgghsYFOixBCSGyg0yIkBETkIRE50sXzTxKRl4K0yea9h6J4X0KckMh1WoTo\nhlLq81HbQEgSYKRFiA+IyLdFZLnx8/dE5HHj58+JyEYR+Z2IfNSIoH4jIutF5GUR+ZmIdBrPnSsi\nL4jI0wCuqjr3bBF5xtjHaJeIzDTO8+8icm9VE9Ns1Xl+LiI7RWRbpZuBiHxMRB4xjv9CRP7AOH6y\niDwtIs+KyN+EPHSEuIJOixB/eArAp42f+wB0i0g7gD8C8Iu6584EcLvRdeQDAAuN4z8EsFwpdU7d\n868EsFYp1Wuce69xfBaAO40mph8C+Kbxnv8T5X3R5gK4G8BNxvPvBPDfjOPXAPjfxvG1AL6vlPoE\ngP/P6wAQEgZ0WoT4w04Ac0VkMoA8gKdRdjCfxkSn9bpSaqDqdSeJyEcAHKmU+rlx/L6q5z8N4C9F\nZCWAE5VSh4zjbyqlfmX8vBFlBzkL5Uavj4rIAMod2o8XkW4A/wnlFlUDKPdYrPST+xSATSbvS4h2\nsKZFiA8opcaMbuB/CuBfAexCeSfkj2Fic9Hq7vFFAJ0obw9h2lNNKfX3IrId5ea124ytzl8zeb4y\nzvNyfbQmIkcA+MCI1kzfxvYCCdEERlqE+MdTKKfdnkI5uroSwICT3QOUUh8A+L2I/JFx6MuV34nI\nKQBeU0qtQ7n79hzjVzNEpOKcFgP4JYDdAKZVjotIu4jMNnYjfl1ELjWOi4icYbz2VzjcMHr8fQnR\nETotQvzjFyin3J5WSr2D8hbt9alBO/4UwO2GEONQ1fEvAXjJSOv9AYANxvHfAFgqIrsATEG5LjWK\n8lY7q0XkBQADKKcFgbJD+ppx/GUc3lJ9BYCrRORZlPeVI0Rb2OWdkBgiIicB+KlS6rSITSEkVBhp\nEUIIiQ2MtAghhMQGRlqEEEJiA50WIYSQ2ECnRQghJDbQaRFCCIkNdFqEEEJiA50WIYSQ2PD/A5Rw\nmWVkHwDvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ebbc780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Put/GUEjQEWvCwjlTcNO6Lb4dOjXLsVArIg+JyCEReV1zW6+I/E5EtmS/rtT87DYR6ReR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\nwPj/AZs8J8eKzWTNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efea6bccb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SoqAV4nmwYt70iqmYFfOm4+mdkghpw7tIiea8QlriMU5tTVScXBz3jJa41g8kGtrwLlKm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\nIa2JGDPP7Tgq5V1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g3odxuE9qTStEUzFSbwxIJ2IVBXPjno0t1UqkBkZ+uAeGP9yPxzqr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9eb78b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mhTC7pbICXrfxTZx/ylGYP3saRnN59HQnkUzSzVshqucb135lGK4arGFvV0pNLyudbwH4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\nCDECKiRCCCFG8P8DnBGq/18dTIoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ea2cda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VwFmydkjH2LXbqJwgHWPnALvcfbe7l4F1wBVDrrkeuM/dXwFw95dDHA8AhWyaVYuac+1X\nLZpJIaviqiKSXHFYPQrzJ50G7B30eh/w3iHXnANgZj8A0sAyd/9miGMinU4xqZBjzbWzGZfP0FOq\n0p5Jk04rq0FEkqu/UsPg/fX+Sg0dbdEEpTCfwiNtYg2d+2WAs4H3A13AF8xs4rAPMrvBzLrNrHv/\n/v1HNaggcF7prSc2nHP749zw0BZe6a0QqCGSiCRYHKrYhBn29gGnD3o9BXhxhGuedPcK8Asz20k9\nQD09+CJ3XwOsgXqW3dEMqlipsXjt1oHfAjbvPsjitVt54LpOOpTYICIJNqEt09QxNuqSamHOkJ4G\nzjazM80sBywCNg655jHgAwBmdhL1JbzdIY6JQi49crXvCHt+iIjETT6b4nBfrSnL7nBfjXyEhzRD\n+0nuXgVuAjYBPwEecfcdZnaHmc1vXLYJOGhmPwa+A9zq7gdH/sRjo1gepaJthD0/RETipliuccv6\nZ5uy7G5Z/2ykz8bEHYwNAudgT5nFa7cOdEVc3TWLyeNypFTyW0QSKnDnnNsfpzpoPz2TMn7215eT\nsqN+No7pAxK3aZJKGZPH5Xjguk4KuTTFco1CNq1gJCKJdqJn2cVWKmV05DOkrPFVwUhEEi5lcNdV\nFzZl2d111YUnTJadiIgcJ9JWT/oa3A+pkEtH2g8pkTOkIHCOlKoE3viqM0giknCVAH5x4AiTxuUw\ng0njcvziwBEq0ZWyS94MKQicw30VXilWOH1SgQOHS7y9kGV8W1ZLdyKSWG2ZFKdNLPBfvrRlIOFr\n1aKZtGVOgLTvuOqr1DhcqnLbo89x7mce57ZHn+NwqUpfRWnfIpJcvdUaS9YNKa66bhu91eiejYkL\nSIHDreu3N930W9dvR6t2IpJkcSiumriAVMiPUqkhr0oNIpJccWjNk7iAFIebLiISN+2ZkVvztGei\n+2U9cZUaiqUqh4plbl2/fWDjbsXCGUwq5CiouKqIJNThvgo9pQrj8tmB1jz9r8e3ZY/241WpYSRt\nuTQrv7qTZfPP56xTOtj18hFWbtrJ3VfPbPXQRERaZlw+w6w7/mXE0kFRSVxAKpZrvPRaiXn3PjHw\n3tzpkymWa2o/ISKJ1VOq8rddM5n7zpMG2k9sfv4APaXqsZghjUni9pAK2TSru2Y1rZOu7pqlFuYi\nkmjtmTSzp01qaj8xe9ok7SG9kaPdQwKo1QKKldrAOmkhqxbmIpJsh/sq/MP3f8G8C94xsJ2x6Ue/\n5uMXn6k9pLAEgXOoWFH7CRGRQQq5NB+ZNYWlG15P+Fq+YEakzUsTNy0Y3MK8/2Ds4rVbKapSg4gk\nWLFcY+mG5qIBSzdsj7RBX+ICklqYi4gMF4dKDYlbsiuWayz+4FnD1kmVZSciSdZfNGBogz5l2YWo\nPZNi0ZypLNu4g3M/8zjLNu5g0ZyptEdY0VZEJG4KuTTLF8xoykDWHlLIeqvBKBVtI2z6ISISM73l\ngMe27mPZ/PPZ+dnLWTb/fB7buo/ecnTPxsStUWkPSURkuJTBlbOnDCurphbmISqWaiOukxZLNTra\nEnc7RESAekDqyGeaWph35DORBqTELdmlUrBiYfM66YqFM0gl7k6IiLwum0lRG9IYrhY4WXWMDU9b\nNs3KTTub1klXbtpJm0oHiUiCFcs1/vHJX1Jq7KeXqgH/+OQvIz2HlLg1KhVXFREZrpBLs2D26dyy\n/tmBPaSVCy+MdH89cU/gQjbN319zEa8UKwPrpG8vZFVcVUQSrViusWHL3qbWPBu27G3UsotmMS1x\nAQmgXAu47dHnBtWyUy8kEUm2OMyQEreHVK9lt21ILbttqmUnIolWLNe4Zf2zTc/GW9Y/q1p2YdI5\nJBGR4eJQyy5xAam/XtNg/fWaRESSqv+M5mD9ZzSjkriAVMilWbnwwqZzSFGvk4qIxE0mBasWzWx6\nNq5aNJMoy3wmLqmhVAnIZ63pNHI+a5QqAYV84uKziAgA1cBZ99Sepiy7dU/t4RMXnxnZGBIXkGru\n/OmXtzWVDpo7fTJrrp3dwlGJiLRWIZ9h94Gepvd2H+ihoH5I4YnDxp2ISNz0lWvcMu/cYcVV+8q1\nyIJS4p7CPaXqiA36omxCJSISN4E7t67fPrB6tHn3QW5dv50HIlw9CnXTxMwuM7OdZrbLzD49wvc/\nZmb7zWxb45//O8zxALRn0qM06FNSg4gkV2GU1aMol+xCC0hmlgbuAy4HzgO6zOy8ES79J3ef2fjn\nC2GNp1/fKA36+tSgT0QSLA5HYsKcIc0Bdrn7bncvA+uAK0L8eWNSyI9yMDavGZKIJFccjsSEGZBO\nA/YOer2v8d5QC8xsu5l9xcxOD3E8QDx+CxARiZvBxVX7W/Ns2LL3hCkdNFKfQR/y+n8B09x9BvC/\ngQdH/CCzG8ys28y69+/ff1SDKuTSLF/Q3KBv+YIZOhgrIomWTdmI++vZCFvGmvvQGHGMPthsLrDM\n3ec1Xt8G4O53jnJ9Gjjk7m97o8/t7Oz07u7utzyuI31Vvvj93cOy7D5x8XS1MBeRxDrSV+V7P3+Z\nue88iQntWV7rrbD5+QO87+xTjsWzcUxRLcwn8NPA2WZ2JvArYBHwh4MvMLN3uPuvGy/nAz8JcTwA\ntGdTLJozlSXrtg3k2q9aNJP2rKo0iEhytedSnP8fJnLjw88MPBuXL5hBey66Z+OYA5KZXQRcTH3Z\n7Qfu/swbXe/uVTO7CdgEpIEvuvsOM7sD6Hb3jcBiM5sPVIFDwMfe2r/G2PVWg5HLY7xvOh1pBSUR\nSaZiucbSDc3nkJZu2M6aa2dH1qBvTEt2ZvaXwELg0cZbHwHWu/tnQxzbiI52yS5w55zbH6cavP7v\nnUkZP/vry0lZdGulIiJxEvKzcUwfMNaw1wW8x93/yt3/Cvht4D+/1ZG1UrE8Son1CDNJRETiJg4Z\nyGMNSC8AbYNe54Hnj/loIlDIplnd1VxifXXXTApZZdmJSHK1Z9Ijtp+IsorNWPeQSsAOM/sX6ntI\nvwd838xWA7j74pDGF4pcOtXUfiKnvSMRSbi+2hvsr0fUFGmsAemrjX/6fffYDyUaxUqNP3r4mWHt\nJx64rpMOVfwWkYQq5NIjt5+I8IzmmJ7A7j7igdXjUSE3SukgHYwVkQSLQ/uJMc3DzOw/mdlWMztk\nZq+Z2WEzey3swYVBSQ0iIsPVBrWf6C88fev67dRCKp4wkrEuDN4LXAdMdvcJ7j7e3SeEOK7QKKlB\nRGS4ODQvHetP2gv8yMOqMxSx9mya+6+5aKA8RibCWk0iInHUn/Y9eH+9P+07qualYw1Ifw58w8z+\nlXrGHQDufncoowpRX7XGq72VYeukqZRRyCmpQUSSKW3GXVddyKceeXbg2XjXVReSjrBgwFifwH8N\nHKF+FikX3nDCFwSM0qa3s8UjExFpnXw2RbZkTUdisikjH2Gdz7EGpEnu/vuhjiQihXyaUyfk2XTz\nJQO59vd/d5ca9IlIohXLNdY+tYd5F7wDgFI1YOO2X/Hxi8+MXS27vwG+7e7/HP6Q3tjR1rIrlqoU\nK1WO9NUGfgvoaEtTyGYi7R0vIhIntSDg0JEyPeXXn43jcmkmdeRIp446IB3T9hN/Avy5mZWBcuPD\n/XjNtOurBNz26HNNe0iFaPbsRERiqVQJKNWGPxtLlYBCPpoZ0ph+SiPNO+Xubcd72nfgjJhrH5wQ\n+YMiIm9NHJ6NYz0Ya2Z2jZn9t8br081sTrhDC0chP0qlBu0hiUiCxeHZONZ52N8Bc3m94+sR4L5Q\nRhSyOJRYFxGJmzg8G8cakN7r7n8C9AG4+yscp+nf/bn2gys1RJ1rLyISN4VcmuULZjQ9G5cvmBG/\n4qpAxczS1FtPYGYnA0FoowpRWy7N5776XFOJ9c9986fcffXMVg9NRKRliuUaj23d1/RsfGzrvkjT\nvscakFZTbz9xipn9NfAHwH8LbVQhKpaqvPRaiXn3PjHw3tzpkymWqnREVB5DRCRu0mZcOXvKsCo2\nUa4ejekcEoCZ/RZwKfWU72+5+0/CHNhojsU5pFd7K8PKY0xsz+ockogkVuDOn/3TNm58/1lNRQPu\nvnomqaMPSsfuHJKZfcndPwr8dIT3jitxKI8hIhI3xVJtlNWjGh1tMeqHBJw/+IWZZYDZx3444eut\nBKx9ag+lan0LrFStv+6tHJdbYiIix0TKYMXC5qSGFQtnEGUzhDdcsjOz24C/ANqB4qBvVYA17n5b\nuMMb7miX7ILAOdxX4ZViZWCG9PZClvFtWVJqQyEiCdVXrlINnGrgTa15Mimj7eg7IRz9kp273wnc\naWZ3Ap8DzqFe8RsaGXfHo/KQ8hiru5RhJyLJFnh9xehwX73/0avFCuPbMqQibF461iW73cATwDeB\nZYO+HneKlRqL125rKo+xeO02ihW1MBeRZPMh84yhr8M21oC0GHgP8Et3/wAwC9gf2qhCVMiNUh4j\nwsNfIiJx1F94+tzPPM5tjz5HX8R762MNSH3u3gdgZnl3/ylwbnjDCk8cymOIiMTNcVNcFdhnZhOB\nx4B/MbOvAS+GN6zwtGfTrFo0symTZNWimbRHuE4qIhI3cSiuOqbUCXf/vxp/XGZm3wHeRn0f6bjT\nW6mx7qk9TeUx1j21p14eI62zSCKSTP2rR5t3Hxx4r3/1aHxEVWx+4yewu/+ru29093IYAwrbuHyG\n3Qd6mt7bfaCHcarSICIJVsilWbmwufD0yoUXxrK46gmjr1LjlnnnDqvX1FepUTj6XHsRkeNSsVxj\n+75XuP+aiwbOIW1+/gAT2k+OrLhq4taogsBH3rhTy1gRSbD2TJrZZ0zixoef4ZzbH+fGh59h9hmT\naM/E7xzSCaOQz4y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Tpx6r8YmISENhlCy7Y7BcN2ZhzpD2AacPej0FeHHoRWb2IeB2YL67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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e7dfda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AmXyAvoEsVIG+gWzxGJEpnifhSD38ymBEhgWBoj+TR6Dh1xplIlc7NLhUVb+uqodU9aCq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\n4H8mJKQ3CUIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e9637b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YPrx9w6tY++s3cfeVp/tO7zWmo9a/sht3LnRP5Zk/l/4p41t6TWEXZPidB/Nb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\nyv8HbFGdN8YeT4cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9ea1a1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LAJljv//aC5q69IwqT7L+uphrsW16vPa4unNtWnqufqFhI6nEawinWYW0USoy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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9e750550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dEzuBUU/Zpf831yXPKaieU4dh36L//Dl5zGD+nDxz+nOpH0FAoyc69fET6X/t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\nskQZkHYAR7V9fiTwk+keY2Y54JeAXRM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe9c843518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(data, size=6, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "可以看到：\n",
    "①instant和dteday强相关，即可以将instant看作是siteday的映射；\n",
    "②weathersit和temp无相关；\n",
    "③casual和registered相关性较好；\n",
    "④temp和registered、casual相关性较强；\n",
    "⑤registered、temp和weathersit、windspeed无相关；\n",
    "⑥casual和weathersit相关性较好；\n",
    "⑦类别型数据跟其他数据相关性较差；\n",
    "以上结论中，相关性好的几个特征都包含被排除掉的casual和registered"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
